To determine the total number of hours Cooper will volunteer, we first calculate the total number of days he will volunteer. Since he will work for 2 weeks and there are 7 days in a week, he will work:
\(2 , \text{weeks} \times 7 , \text{days/week} = 14 , \text{days}\).
Cooper works 3.5 hours every day, so the total number of hours \(h\) he will volunteer is:
\[ h = 3.5 , \text{hours/day} \times 14 , \text{days} \] \[ h = 49 , \text{hours} \]
Now, let's check each equation to see which represents this relationship:
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\(h/3.5 = 2\) → This implies \(h = 3.5 \times 2 = 7\), which is incorrect.
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\(h/2 = 3.5\) → This implies \(h = 3.5 \times 2 = 7\), which is incorrect.
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\(3.5h = 14\) → This implies \(h = 14 / 3.5 = 4\), which is incorrect.
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\(h/14 = 3.5\) → This implies \(h = 3.5 \times 14 = 49\), which is correct.
Therefore, the correct equation that represents the total number of hours Cooper will volunteer is:
\(h/14 = 3.5\).